a) Name the random variables present in the table above. b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by * *** **** and *****
a) Name the random variables present in the table above. b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by * *** **** and *****
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
Related questions
Question
![The human resource manager at a car dealership wants to know if the ages of its employees
are related to the department that they work in. Data was compiled and tabulated in a 2-way
contingency table. The employees were classified according to their age and department.
Expected counts are printed below observed counts
Sales
Accounts Marketing Repairs Total
20-29
10
27
43
88
17.74
26.20
23.62
**
30-39
29
26
38
22
23.18
26.72
34.24
30.86
40-49
33
32
72
82
219
44.15
50.88
65.20
58.77
81
106
75.97
50-59
86
54
327
65.92
97.36
87.75
Total
151
**
223
201
749](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1850a245-c75c-4165-837c-601ca452de3d%2F284adf3f-0c22-4269-a23d-1cac68bc9a84%2Fk607u7_processed.png&w=3840&q=75)
Transcribed Image Text:The human resource manager at a car dealership wants to know if the ages of its employees
are related to the department that they work in. Data was compiled and tabulated in a 2-way
contingency table. The employees were classified according to their age and department.
Expected counts are printed below observed counts
Sales
Accounts Marketing Repairs Total
20-29
10
27
43
88
17.74
26.20
23.62
**
30-39
29
26
38
22
23.18
26.72
34.24
30.86
40-49
33
32
72
82
219
44.15
50.88
65.20
58.77
81
106
75.97
50-59
86
54
327
65.92
97.36
87.75
Total
151
**
223
201
749
![Chi-Sq
5.348 +
**** +
0.024 + 15.912 +
1.459 +
0.019 +
0.413 +
2.544 +
2.816 +
7.003 +
0.709 +
9.182 +
3.448 + 11.875 +
1.325 + 12.983 = 80.395
DF = *****, P-Value =
No cells with expected counts less than 5.
******
a) Name the random variables present in the table above.
b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the
generation of the above table.
c) Fill in the gaps marked by **, ** **** ****
d) What is the assumption on which these calculations are based?
e) What is relevance of the statement" No cells with expected counts less than 5."
f) Do the records suggest a relationship or independence between age and department for the
employees of this car dealership at the 5% significance level? Give reason(s) for your answer.
******* and *******](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1850a245-c75c-4165-837c-601ca452de3d%2F284adf3f-0c22-4269-a23d-1cac68bc9a84%2Finsglpj_processed.png&w=3840&q=75)
Transcribed Image Text:Chi-Sq
5.348 +
**** +
0.024 + 15.912 +
1.459 +
0.019 +
0.413 +
2.544 +
2.816 +
7.003 +
0.709 +
9.182 +
3.448 + 11.875 +
1.325 + 12.983 = 80.395
DF = *****, P-Value =
No cells with expected counts less than 5.
******
a) Name the random variables present in the table above.
b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the
generation of the above table.
c) Fill in the gaps marked by **, ** **** ****
d) What is the assumption on which these calculations are based?
e) What is relevance of the statement" No cells with expected counts less than 5."
f) Do the records suggest a relationship or independence between age and department for the
employees of this car dealership at the 5% significance level? Give reason(s) for your answer.
******* and *******
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